[{
  "section": "Section name",
  "type": "single | multiple | numerical",
  "questions": [{
    "question": "Question text with $inline math$ support",
    "diagram": "url (optional)",
    "answer": "A or [A,C] or 3.14",
    "options": [{
      "option_id": "A",
      "option": "Option text with $math$",
      "diagram": "url (optional)"
    }],
    "solution":""
  }]
}]
        

Generate JEE Advanced questions in the following JSON format. Use KaTeX inline math notation with single dollar signs for inline equations ($x^2 + y^2$) and double dollar signs for block equations ($$\int_0^\infty$$). For single answer MCQ use type 'single' with answer as the correct option_id string. For multiple correct use type 'multiple' with answer as array of option_id strings. For numerical use type 'numerical' with answer as number or decimal string. Include diagram field only if needed as a direct image URL. Make sure all LaTeX is valid KaTeX syntax. Return only the raw JSON array, no explanation, no markdown code fences.